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Is there a closed-form solution for $\frac{dy}{dx} = 1 + \frac{a}{y} + \frac{b}{x}$?

How do i solve this : $\displaystyle \ f'=e^{{f}^{-1}}$?

Is the function $e^{x^2/2} \Phi(x)$ monotone increasing?

Reference for working with the implicit function theorem

Characterizing visual proofs